Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 2x=18-x
-
Equation 9*x^2=54*x
-
Equation cos(x)=-2
-
Equation 2*x^2+6*x+9=
- Express {x} in terms of y where:
- 14*x+16*y=-3
- -10*x-18*y=15
- 20*x+5*y=-3
- 4*x+18*y=-14
- Derivative of:
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tg(x)
- Graphing y =:
- tg(x)
- Integral of d{x}:
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tg(x)
- 0.2
- Sum of series:
-
0.2
-
Identical expressions
- tg(x)= zero . two
- tg(x) equally 0.2
- tg(x) equally zero . two
- tgx=0.2
- tg(x)=O.2
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Similar expressions
- tgx/sinx-cosx
- 3ctg(x/2-п/4)-√3=0
- ctgx=1,8
tg(x)=0.2 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(x \right)} = \frac{1}{5}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{5} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{5} \right)}$$
, where n - is a integer
$$\tan{\left(x \right)} = \frac{1}{5}$$
- this is the simplest trigonometric equation
This equation is transformed to
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{5} \right)}$$
Or
$$x = \pi n + \operatorname{atan}{\left(\frac{1}{5} \right)}$$
, where n - is a integer
Sum and product of roots
[src]
sum
atan(1/5)
$$\operatorname{atan}{\left(\frac{1}{5} \right)}$$
=
atan(1/5)
$$\operatorname{atan}{\left(\frac{1}{5} \right)}$$
product
atan(1/5)
$$\operatorname{atan}{\left(\frac{1}{5} \right)}$$
=
atan(1/5)
$$\operatorname{atan}{\left(\frac{1}{5} \right)}$$
atan(1/5)
Rapid solution
[src]
x1 = atan(1/5)
$$x_{1} = \operatorname{atan}{\left(\frac{1}{5} \right)}$$
x1 = atan(1/5)
Numerical answer
[src]
x1 = -59.4928648583562
x2 = 44.179692710107
x3 = -6.08578974732971
x4 = -68.9176428191256
x5 = 19.0469514813886
x6 = 31.6133220957478
x7 = 63.0292486316457
x8 = 75.5956192460049
x9 = -21.7937530152787
x10 = -34.3601236296378
x11 = -72.0592354727154
x12 = 12.7637661742091
x13 = 15.9053588277988
x14 = -15.5105677080991
x15 = 9.62217352061926
x16 = 81.8788045531845
x17 = -100.333569355023
x18 = 47.3212853636968
x19 = 25.3301367885682
x20 = -37.5017162832276
x21 = -40.6433089368174
x22 = 91.3035825139539
x23 = 56.7460633244662
x24 = 94.4451751675437
x25 = 100.728360474723
x26 = -12.3689750545093
x27 = -31.2185309760481
x28 = -97.1919767014337
x29 = 85.0203972067743
x30 = 97.5867678211335
x31 = 69.3124339388253
x32 = 3.33898821343967
x33 = -9.2273824009195
x34 = 0.197395559849881
x35 = 66.1708412852355
x36 = -65.7760501655358
x37 = -43.7849015904072
x38 = -56.3512722047664
x39 = 34.7549147493376
x40 = -62.634457511946
x41 = 22.1885441349784
x42 = -75.2008281263052
x43 = 53.6044706708764
x44 = -94.0503840478439
x45 = -87.7671987406643
x46 = -90.9087913942541
x47 = -84.6256060870745
x48 = 88.1619898603641
x49 = -78.342420779895
x50 = -2.94419709373991
x51 = -53.2096795511766
x52 = 41.0381000565172
x53 = -81.4840134334847
x54 = -24.9353456688685
x55 = 78.7372118995947
x56 = 6.48058086702947
x57 = -28.0769383224583
x58 = -50.0680868975868
x59 = 72.4540265924151
x60 = 59.887655978056
x61 = -46.926494243997
x62 = -18.6521603616889
x63 = 37.8965074029274
x64 = 50.4628780172866
x65 = 28.471729442158
x65 = 28.471729442158